TEKS Math 8.5.B

Math8th Grade

The Standard

represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What Students Need to Do: Students identify a constant rate and a starting value that is not zero. They show the same situation with a table, plotted points, a line, and an equation.
What Mastery Looks Like: Students correctly identify the constant rate and nonzero starting value from any representation. They create a table, graph, and equation that show the same relationship and explain how the slope and intercept appear in each.
Common Misconceptions: Students may treat the starting value as zero or confuse it with the rate of change. They may switch the slope and y-intercept or plot the intercept on the x-axis.
How to Assess It: Give this exit ticket: “A tank starts with 12 gallons and fills 3 gallons per minute. Make a table, graph the first four points, and write an equation.”

Lesson moves

Give pairs cups and counters to model a starting amount plus equal additions, then record totals in a table and graph them.
Ask students to explain in writing where the starting value and rate appear in a table, graph, and equation.
Run a matching game with cards showing equations, tables, graphs, slopes, and starting values from the same relationships.
Compare a taxi fare with a base fee and per-mile charge, then represent the cost with a table, graph, and equation.

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